Answer:
The answer is 20 pounds.
Step-by-step explanation:
Let p represent the number of pounds.
UPS charges $7 for the first pound, and $0.20 for each additional pound.
7 + 0.20p
FedEx charges $5 for the first pound and $0.30 for each additional pound.
5 + 0.30p
To know the number of pounds it will take for UPS and FedEx to cost the same, we will equal both the equations.
7 + 0.20p = 5 + 0.30p
7 - 5 = 0.30p - 0.20p
2 = 0.10p
p = 20
Hence, it will take 20 pounds to make both equal.
What is the equation in point-slope form of the line that passes through the points (7,5) and (−4,−1) ?
Answer:
-6/-11
Step-by-step explanation:
First we find the gradient.
Which is defined by the formula, y2-y1/x2-x1
In the coordinates given, y2= -1 y1= 5 x2= -4 x1=7
-1-5/-4-7 = -6.75 (this is the slope / gradient)
Therefore it is -6/-11
7,15,23,... \text{Find the 41st term.} Find the 41st term.
Answer:
Step-by-step explanation:
An = 7 + (41-1)8 = 327
Answer:
327.
Step-by-step explanation:
T41 = a + (n-1) d.
T41 = 7 + ( 41 - 1) 8.
T41 = 7 + ( 40) 8.
T41 = 7 + 320.
T41 = 327.
3 years ago, the ratio of Tina's age to Carl's age was 2:7
Tina is now 15 years old and Carl is now x years old.
Find the value of x
Answer: x = 45
Step-by-step explanation:
Given information
Tina's age (now) = 15 years old
Carl's age (now) = x years old
Ratio of age (3 years ago) = Tina : Carl = 2 : 7
Set equation according to the given information
(15 - 3) / (x - 3) = 2 / 7
Cross multiply
7 (15 - 3) = 2 (x - 3)
Simplify by subtraction in the parentheses
7 (12) = 2 (x - 3)
Simplify by multiplication
84 = 2 (x - 3)
Divide 2 on both sides
84 / 2 = 2 (x - 3) / 2
42 = x - 3
Add 3 on both sides
42 + 3 = x - 3 + 3
[tex]\boxed{x=45}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
x = 45
Step-by-step explanation:
Let the present age of Carl be x.
Given Tina's present age is 15 and 3 years ago, the ratio of Tina's and Carl's ages was 2:7
Then 3 years ago, Tina's age will be
[tex] \\ 15 - 3 = 12 \: years[/tex]
and, Carl's age will be x - 3
and they are in the ratio 2:7.
therefore,
[tex] \\ \: \: \: \: \: \: \: \: 12 \ratio(x - 3) = 2 \ratio7[/tex]
[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{12}{x - 3} = \frac{2}{7} [/tex]
[tex] \\ \sf \: by \: cross \: multiplication[/tex]
[tex] \\ \: \: \: \: \: \: 12 \times 7 = 2(x - 3) [/tex]
[tex] \\ \: \: \: \: \: \: x - 3 = \frac{84}{2} = 42[/tex]
[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: x = 42 + 3[/tex]
[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \therefore \: \: x = 45[/tex]
Solve the system by substitution y=5x y=-x+30
Answer:
Step-by-step explanation:
y = 5x
y = x + 30
Substitute y = 5x in second equation:
5x = x+ 30
4x = 30
x = 7.5.
and y = 5*7.5 = 37.5.
help, i will give brainliest! :)
Answer:
B is the answer
Step-by-step explanation:
Please follow me
The sales tax rate in a certain city is 8%. Find the tax charged on a purchase of $600, and the total cost.
a submarine descends 480 ft and 24 seconds the submarines elevation changes at a constant rate what is the elevation change of the submarine after 8 Seconds
Answer:
The submarine would be 900 below the ocean surface after 12 minutes assuming it started its descent at the surface of the ocean.
Step-by-step explanation:
The formula for distance traveled (in this case the distance a submarine descends) over a period of time is:
d
=
r
⋅
t
where
d
is the distance traveled (or descended),
r
is the rate of travel and
t
is the time.
In this problem we are told the rate,
r
is 75 feet per minute. And, we are told the time,
t
, to calculate for which is 12 minutes.
Which function is a linear function?
OA 1-3x =-y
OB.y+ 7 = 5x
OC. x2 + 4 = y
OD. 918 - y) = 3
O E. y- x2 = 8
Answer:
D. 918-y=3 Because y is equal to 915 for all values of x
Which linear equation represents a line with a slope of 94 and a y-intercept of 0?
1). y = 9/4y
2). y = x + 9/4
3). x = 9/4x
4). y=9/4x
Answer:
4)
Step-by-step explanation:
I think that you meant slope of 9/4. Number 4 would be correct because slope intercept form would be y=mx+b, where m is the slope and b is y intercept. Since b=0, you don't have to add anything, so it would just be y=9/4x
Answer:
4) [tex]y=\frac{9}{4}x[/tex]
Step-by-step explanation:
This is a linear equation in slope-intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
1) [tex]y=\frac{9}{4}y[/tex] --- this is just a false equation that cannot be a line.
2) [tex]y=x+\frac{9}{4}[/tex] --- this is a line with a slope of 1 and a y-intercept of 9/4
3) [tex]x=\frac{9}{4}x[/tex] --- this is also false
4) [tex]y=\frac{9}{4}x[/tex] --- this is a line with a slope of 9/4 and a y-intercept of 0.
what is the solution to[tex]\frac{5}{2 } x-7=\frac{3}{4} x+14[/tex]
Answer:
[tex]\boxed{\boxed{\sf x=12}}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{5}{2}\:x-7=\cfrac{3}{4}\:x+14[/tex]
Add 7 to both sides:
[tex]\sf \cfrac{5}{2}\:x-7+7=\cfrac{3}{4}\:x+14+7[/tex][tex]\sf \cfrac{5}{2}\:x=\cfrac{3}{4}\:x+21[/tex]Now, Subtract 3/4 x from both sides:
[tex]\sf \cfrac{5}{2}\:x-\cfrac{3}{4}\:x=\cfrac{3}{4}\:x+21-\cfrac{3}{4}\:x[/tex][tex]\sf \cfrac{7}{4}\:x=21[/tex]Multiply both sides by 4:
[tex]\sf 4\times \cfrac{7}{4}\:x=21\times \:4[/tex][tex]\sf 7x=84[/tex]Divide both sides by 7:
[tex]\sf \cfrac{7x}{7}=\cfrac{84}{7}[/tex][tex]\sf x=12[/tex]_________________________________Please help me
14. What is the solution on the systems of linear equation y = -x + 3 and y = 2x – 6?
15. A piggy bank contains P118.00 worth of coins in P1.00 and P5.00 denominations. The number of P5.00 coin is two more than the number of P1.00 coin. How many coins of each kind does the piggy bank contain?
Answer:
14. -x-y=-3
2x-y=6
=> x=3, y=0
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!
hi can i be brainliest this is easy the answer is 27374
A new car is purchased for $26,000 and over time its value depreciates by one half
every 7 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $8,800?
Taxable income is a person's gross income minus
O A. hours worked
O B. allowable deductions
C. profits
O D. revenue
Taxable income is a person's gross income minus allowable deductions.
The correct option is B.
As, Any gross income that is used to determine how much tax you owe is referred to as taxable income.
This is equal to your AGI less the total of either your itemized deductions or the standard deduction, whichever is greater, and, if available, the qualifying business income deduction.
So, Taxable income is a person's gross income minus allowable deductions.
Thus, the ideal solution is B.
Learn more about Taxable income here:
https://brainly.com/question/17961582
#SPJ7
Heyyyy help please please please
Answer:
% Decrease = 19.2 ; 19.2%
Step-by-step explanation:
% Decrease = (Original Price - New price)/ Original price × 100
% Decrease = (78 - 63)/78 × 100
% Decrease = 15/78 × 100
% Decrease = 19.23
Perform the indicated operation.
1/3 + 8 3/4
Answer:
9 1/12
Find LCM for denominators
then add
boom!
9 1/12
Have a nice day!
Please give brainliest :D
Answer:
9 1/12
or
109/12
Step-by-step explanation:
Hope this helps!
Evaluate for the given value of the variable
Step-by-step explanation:
Example, i have 1 equation and i want to find x
2x - 1 = 5
2x = 5 + 1
2x = 6
x = 6/2
x = 3
So, value of x is 3
expland and simplify 2(x+7) 3(x+1)
Answer:
2(x+7) = 2x+14 / 3(x+1) = 3x+3
Step-by-step explanation:
When you see equations with parenthesis, that means you must do distributive property. So, whatever number is outside of the parenthesis, you multiply it by all the number inside of the parenthsis.
Answer:
6x² + 48x + 42
Step-by-step explanation:
2(x + 7) 3(x + 1) ← multiply the integers
= 6(x + 7)(x + 1) ← expand factors using FOIL
= 6(x² + 8x + 7) ← distribute parenthesis by 6
= 6x² + 48x + 42
new question!! pls help lol ty
Answer:
1: a. x=120, b. x=19, 2: mOPR=137, mSRQ=140, mPQT=83
Step-by-step explanation:
1.
a. since x is an exterior angle, we know x is the sum of the other 2 interior angles. the box in the corner means that angle is a right angle, or 90 degree angle. so x = 90 + 30, s=120
b. again, 103 is an exterior angle so 103 = 47-x +2x+38. simplify to get 103 = x+84, so x=19
2.
OPR is an exterior angle so mOPR = mPQR + mPRQ, or 2y+15 = 97 + y-21. simplify and solve for y to get y=61. plug this into 2y+15 to get mOPR = 137.
because SRQ is an exterior angle, it equals RPQ + PQR. first we need to find RPQ. since PQR is a triangle, PQR + PRQ + RPQ = 180. PRQ = y-21 = 40. so RPQ=180-97-40 = 43. so SRQ = 43+97 = 140. (you could also use the fact that PRQ + SRQ = 180)
the exterior angles added up together = 360, so OPR + SRQ + PQT = 360. plug in the known values to get PQT = 360 - 137 - 140 = 83
the HCF 12, 24 and 36
Answer:
HCF of 12, 24 and 36 by Euclidean Algorithm
As per the Euclidean Algorithm, HCF(X, Y) = HCF(Y, X mod Y)
where X > Y and mod is the modulo operator.
HCF(12, 24, 36) = HCF(HCF(12, 24), 36)
Steps for HCF(12, 24):
HCF(24, 12) = HCF(12, 24 mod 12) = HCF(12, 0)
HCF(12, 0) = 12 (∵ HCF(X, 0) = |X|, where X ≠ 0)
⇒ HCF(12, 24) = 12
⇒ HCF(HCF(12, 24), 36) = HCF(12, 36)
Steps for HCF(12, 36):
HCF(36, 12) = HCF(12, 36 mod 12) = HCF(12, 0)
HCF(12, 0) = 12 (∵ HCF(X, 0) = |X|, where X ≠ 0)
⇒ HCF(12, 36) = 12
Therefore, the value of HCF of 12, 24, and 36 is 12.
Step-by-step explanation:
factors of 12=1,2,3,4,6,12
factors of 24=1,2,3,4,6,8,12,24
factors of 36=1,2,3,4,6,9,12,18,36
common factors =1,2,3,4,6,12
Therefore factors of 12,24,36=12
Someone please tell me the answers to these
Answer:
A) 25. 5 x 5 or 5^2 = 25
B) -4. -2 x -2 or -2^2 = -4
C) 0.25. 0.5 x 0.5 or 0.5^2 = 0.25
Step-by-step explanation:
Answer:
a) x2=5*5=25
b)y2=(-2)*(-2)=4
c)z2=0.5*0.5=0.25
please help, all i need is the answer i think this is 7th grade
What’s the Problem/question ?
Tickets to a carnival cost $2.50 each plus a $2.00 fee for buying them online. Riley has $15.00 and wants to buy tickets for himself and some friends. How many friends can he invite
Answer:
If bought online, 2 If bought in person, 5
Step-by-step explanation:
Answer:
Assuming he is buying online, he can invite 4 friends plus himself.
Explantation:
Tickets for four friends
2.50 x 4 = 10
The he adds himself
10+ 2.50= 12.50
Then he adds the flat fee
12.50+2= 14.50
-2/5x - 9 < 9/10
Show work used to solve please :)
-2/5x - 9 < 9/10
-2/5x-9+9<9/10+9
-2/5x<99/10
(5/-2)*(-2/5 x)<(5/-2)*(99/10)
x>-99/4
Plot the numbers −1 3/4 and 5/2 on the number line below.
Answer:
Hey so I graphed it for you in the picture, It should be between 2 and 3
Got a math quiz happening, please help give a detailed explanation and I will give brainliest!
Answer:
-1.1
Step-by-step explanation:
3.1 - 1.3 = t + 2.9
t = 3.1 - 1.3 - 2.9
t = -1.1
Answer:
t = -1.1
Step-by-step explanation:
[tex]3.1 - 1.3 = t + 2.9 \\ 1.8 = t + 2.9 \\ 1.8 - 2.9 = t \\ - 1.1 = t [/tex]
What is the point slope form of m=-2;(1,2).
I NEED HELP ASAP PLEASE. NO LINK.
Answer:
y - 2 = -2(x - 1)
Step-by-step explanation:
Point slope form is
y - y₁ = m(x - x₁)
where x₁ and y₁ are a point on the line
We are given (x₁, y₁) = (1, 2) and m = -2
plugging in
y - 2 = -2(x - 1)
what is 2x + 10 + 7x + 70
Answer:
9x+80
hopes this helps :)
Answer:
9x+80
Step-by-step explanation:
The expression is equals 2x+7x+10+70.
1) 2x+7x=9x
2) 10+70=80
3) Then just it makes 9x+80
Can someone please help me with this math problem
Answer:
Option D) d (t ) = -0.25t + 2
Step-by-step explanation:
Given the water level covering a road after a rainstorm of 2 meters, for which the water level recedes at a rate of 0.25 meters per hour:
We can express the depth, d, of the water as a linear function of the time, t, in hours elapsed from the end of the rainstorm as:
d (t ) = -0.25t + 2
The receding rate has a negative value since it represents how the water level decreases over time.
Therefore, the correct answer is Option D: d (t ) = -0.25t + 2
**30 POINTS**
PLEASE SOLVE
Write 8x³y³ as the power of a product.
Answer:
(2xy)³
Step-by-step explanation:
According to the Power Rule of Exponents:
[tex](ab})^{m} = a^{m}b^{m}[/tex]
We can apply the Power Rule of Exponents to the given exponential expression, 8x³y³, by taking the smallest factor that when cubed (or raised to an exponent of 3), will produce the same results as the original exponential expression.
8 is a perfect cube of 2: ⇒ 2 × 2 × 2 = 2³ = 8
The cube of x is x³: ⇒ x × x × x = x³
The cube of y is y³ ⇒ y × y × y = y³
Hence, we can take the least common factors, (2xy) and raise them to the third power:
(2xy)³ = 2³x³y³ = 8x³y³
Therefore, the correct answer is: (2xy)³
[tex]\\ \sf\longmapsto 8x^3y^3[/tex]
8=2^3x^3=(x)^3y^3=(y)^3We know the rule of exponents
[tex]\boxed{\sf (ab)^m=a^mb^m}[/tex]
Now
[tex]\\ \sf\longmapsto 8x^3y^3[/tex]
[tex]\\ \sf\longmapsto 2^3x^3y^3[/tex]
[tex]\\ \sf\longmapsto (2xy)^3[/tex]
[tex]\\ \sf\longmapsto (2xy)(2xy)(2xy)[/tex]